Generalized Structured Component Analysis: A Component-Based Approach to Structural Equation Modeling, 1st Edition (Hardback) book cover

Generalized Structured Component Analysis

A Component-Based Approach to Structural Equation Modeling, 1st Edition

By Heungsun Hwang, Yoshio Takane

Chapman and Hall/CRC

342 pages | 60 B/W Illus.

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pub: 2014-12-11
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Description

Winner of the 2015 Sugiyama Meiko Award (Publication Award) of the Behaviormetric Society of Japan

Developed by the authors, generalized structured component analysis is an alternative to two longstanding approaches to structural equation modeling: covariance structure analysis and partial least squares path modeling. Generalized structured component analysis allows researchers to evaluate the adequacy of a model as a whole, compare a model to alternative specifications, and conduct complex analyses in a straightforward manner.

Generalized Structured Component Analysis: A Component-Based Approach to Structural Equation Modeling provides a detailed account of this novel statistical methodology and its various extensions. The authors present the theoretical underpinnings of generalized structured component analysis and demonstrate how it can be applied to various empirical examples. The book enables quantitative methodologists, applied researchers, and practitioners to grasp the basic concepts behind this new approach and apply it to their own research.

The book emphasizes conceptual discussions throughout while relegating more technical intricacies to the chapter appendices. Most chapters compare generalized structured component analysis to partial least squares path modeling to show how the two component-based approaches differ when addressing an identical issue. The authors also offer a free, online software program (GeSCA) and an Excel-based software program (XLSTAT) for implementing the basic features of generalized structured component analysis.

Table of Contents

Introduction

Structural Equation Modeling

Traditional Approaches to Structural Equation Modeling

Why Generalized Structured Component Analysis?

Generalized Structured Component Analysis

Model Specification

Estimation of Model Parameters

Model Evaluation

Example

Other Related Component-Based Methods

Appendix The Alternating Least-Squares Algorithm for Generalized Structured Component Analysis

Appendix Extensions of the Least-Squares Criterion for Generalized Structured Component Analysis

Appendix A Partial Least Squares Path Modeling Algorithm

Basic Extensions of Generalized Structured Component Analysis

Constrained Analysis

Higher-Order Latent Variables

Multiple Group Analysis

Total and Indirect Effects

Missing Data

Summary

Appendix The Imputation Phase of the Alternating Least-Squares Algorithm for Estimating Missing Observations

Fuzzy Clusterwise Generalized Structured Component Analysis

Fuzzy Clustering

Fuzzy Clusterwise Generalized Structured Component Analysis

Example: Clusterwise Latent Growth Curve Modeling of Alcohol Use among Adolescents

Summary

Appendix The Alternating Least-Squares Algorithm for Fuzzy Clusterwise Generalized Structured Component Analysis

Appendix Regularized Fuzzy Clusterwise Generalized Structured Component Analysis

Nonlinear Generalized Structured Component Analysis

Introduction

Nonlinear Generalized Structured Component Analysis

Examples

Summary

Appendix Algorithms for Kruskal’s (1964a, b) Least-Squares Monotonic Transformations

Generalized Structured Component Analysis with Latent Interactions

Generalized Structured Component Analysis with Latent Interactions

Probing of Latent Interaction Effects

Testing Latent Interaction Effects in Partial Least Squares Path Modeling

Example

Summary

Appendix The Alternating Least-Squares Algorithm for Generalized Structured Component Analysis with Latent Interactions

Multilevel Generalized Structured Component Analysis

Model Specification

Parameter Estimation

Example: The ACSI Data

Summary

Appendix The Alternating Least-Squares Algorithm for Two-Level Multilevel Generalized Structured Component Analysis

Appendix The Three-Level Generalized Structured Component Analysis Model

Regularized Generalized Structured Component Analysis

Ridge Regression

Regularized Generalized Structured Component Analysis

Example

Summary

Appendix The Alternating Regularized Least-Squares Algorithm for Regularized Generalized Structured Component Analysis

Lasso Generalized Structured Component Analysis

Lasso Regression

Lasso Generalized Structured Component Analysis

Example: The Company-Level ACSI Data

Summary

Appendix The Alternating Coordinate-Descent Algorithm for Lasso Generalized Structured Component Analysis

Dynamic Generalized Structured Component Analysis

Introduction

The Method

Examples of Application to Real Functional Neuroimaging Data

Summary and Discussion

Appendix Algorithm for Dynamic Generalized Structured Component Analysis

Functional Generalized Structured Component Analysis

Functional Generalized Structured Component Analysis

A Related Method: Functional Extended Redundancy Analysis

Examples

Summary

Appendix The Alternating Regularized Least-Squares Algorithm for Functional Generalized Structured Component Analysis

References

Index

About the Originator

Author

Yoshio Takane

Victoria, British Columbia, Canada

Learn more about Yoshio Takane >>

About the Series

Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences

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Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General